.1 Calculate mean, median, mode, and range

Question

U2A
A Quality Assurance Engineer is measuring the diameter of some newly manufactured pipes. He measured 7 pipes and noted diameters of:
6 centimeters4 centimeters6 centimeters5 centimeters6 centimeters6 centimeters5 centimeters
What is the median diameter of the pipes?

centimeters

Answer 1

To calculate the median diameter of the pipes, we first need to organize the measurements in ascending order.

The given diameters are:

• 6 cm
• 4 cm
• 6 cm
• 5 cm
• 6 cm
• 6 cm
• 5 cm

Step 1: Sort the data in ascending order. The sorted diameters are:

• 4 cm
• 5 cm
• 5 cm
• 6 cm
• 6 cm
• 6 cm
• 6 cm

Step 2: Find the median. The median is the middle value in a sorted list. Since we have an odd number of measurements (7), the median will be the 4th value in this sorted list.

The 4th value is:

• 6 cm

Thus, the median diameter of the pipes is 6 centimeters.